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Finding the Third Proportional to 266,692.50 and 629,552.25

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Solution

The third proportional to 266,692.50 and 629,552.25 is: 1,486,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,692.50 : 629,552.25 = 629,552.25 : x
  2. Step 2: Convert to fraction form
    266,692.50/629,552.25 = 629,552.25/x
  3. Step 3: Cross multiply
    266,692.50x = 629,552.25 × 629,552.25
  4. Step 4: Simplify right side
    266,692.50x = 396,336,035,480.06
  5. Step 5: Solve for x
    x = 396,336,035,480.06/266,692.50
  6. Step 6: Final answer
    x = 1,486,116.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.